How to Decide Whether Two Convex Octahedra are Affinely Equivalent Using Their Natural Developments Only

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How to Decide Whether Two Convex Octahedra are Affinely Equivalent Using Their Natural Developments Only. / Alexandrov, Victor.

в: Journal for Geometry and Graphics, Том 26, № 1, 7, 2022, стр. 29-38.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{e130e63506834bb9841ac28204ba1c36,

title = "How to Decide Whether Two Convex Octahedra are Affinely Equivalent Using Their Natural Developments Only",

abstract = "Given two convex octahedra in Euclidean 3-space, we find conditions on their natural developments which are necessary and sufficient for these octahedra to be affinely equivalent to each other.",

keywords = "Affine transformation, Cayley-Menger determinant, natural development, octahedron, spatial shape of a polyhedron",

author = "Victor Alexandrov",

note = "Acknowledgment: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project FWNF-2022-0006). Publisher Copyright: {\textcopyright} 2022 Heldermann Verlag.",

year = "2022",

language = "English",

volume = "26",

pages = "29--38",

journal = "Journal for Geometry and Graphics",

issn = "1433-8157",

publisher = "Heldermann Verlag",

number = "1",

}

RIS

TY - JOUR

T1 - How to Decide Whether Two Convex Octahedra are Affinely Equivalent Using Their Natural Developments Only

AU - Alexandrov, Victor

N1 - Acknowledgment: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project FWNF-2022-0006). Publisher Copyright: © 2022 Heldermann Verlag.

PY - 2022

Y1 - 2022

N2 - Given two convex octahedra in Euclidean 3-space, we find conditions on their natural developments which are necessary and sufficient for these octahedra to be affinely equivalent to each other.

AB - Given two convex octahedra in Euclidean 3-space, we find conditions on their natural developments which are necessary and sufficient for these octahedra to be affinely equivalent to each other.

KW - Affine transformation

KW - Cayley-Menger determinant

KW - natural development

KW - octahedron

KW - spatial shape of a polyhedron

UR - http://www.scopus.com/inward/record.url?scp=85143685684&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85143685684

VL - 26

SP - 29

EP - 38

JO - Journal for Geometry and Graphics

JF - Journal for Geometry and Graphics

SN - 1433-8157

IS - 1

M1 - 7

ER -

ID: 40916303